This paper is concerned with the influence of mechanical stresses on the equilibrium,
propagation, and stability of chemical reaction fronts in solids. A localized chemical reaction …

Stress-induced phase transformations in elastic solids with circular or elliptical holes as
stress concentrators are considered. The evolution of the interface is described by a kinetic …

Marginal stability plays an important role in nonlinear elasticity because the associated
minimally stable states usually delineate failure thresholds. In this paper we study the local …

In the present work, a chemical reaction between a solid and a diffusing constituent is
considered. Many experimental observations show a coupling between mechanical stresses …

In the current work we consider a chemical reaction localized on the sharp interface
between a solid and a diffusive constituent. The driving force for the reaction front …

We present a class of models of elastic phase transitions with incompatible energy wells in
an arbitrary space dimension, where in a hard device an abundance of Lipschitz global …

In the variational problems involving non-convex integral functionals, finding the binodal, the
boundary of validity of the quasiconvexity of the energy density, is of central importance. We …

We address the fundamental difference between solid-solid and liquid-liquid phase
transitions within the Ericksen's nonlinear elasticity paradigm. To highlight ideas, we …

The paper investigates two-phase microstructures of optimal 3D composites that store
minimal elastic energy in a given strain field. The composite is made of two linear isotropic …

Strong local minimizers with surfaces of gradient discontinuity appear in variational
problems when the energy density function is not rank-one convex. In this paper we show …